2,361,584

2⁴ × 103 × 1433

Starting at 2,361,584, the Collatz iteration reaches 1 after 99 steps. The first transition is 1180792; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 103 × 1433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,623,216

Proper Divisor Sum 2,261,632

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2361581 ← → #2361607

Radix Representation

Decimal	2361584
Binary	1001000000100011110000 (22 bits)
Octal	0o11004360
Hexadecimal	0x2408F0

Divisor Catalog (20)

1 2 4 8 16 103 206 412 824 1,433 1,648 2,866 5,732 11,464 22,928 147,599 295,198 590,396 1,180,792 2,361,584

Collatz Trajectory (99 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,361,584 1,180,792 590,396 295,198 147,599 442,798 221,399 664,198 332,099 996,298 498,149 1,494,448 747,224 373,612 186,806 93,403 280,210 140,105 420,316 210,158 105,079 315,238 157,619 472,858 236,429 709,288 354,644 177,322 88,661 265,984 132,992 66,496 33,248 16,624 8,312 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418

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